Recent years have seen significant advancements in employing tools from Quantum Field Theory, specifically techniques from the modern Amplitudes program, to inform theoretical predictions for gravitational waveforms generated by binary systems. In this talk I will review this effort, emphasizing especially two aspects:
1. Modeling the spin of astrophysical objects will become increasingly important for signal identification as the sensitivity of gravitational-wave detectors will continue to improve. I will discuss how using Amplitudes methods we have obtained new results pertaining to the gravitational interaction of spinning objects and identified novel physical phenomena that may manifest in the gravitational waveform.
2. Curved-space methods naturally resum infinite towers of contributions of flat-space perturbation theory. I will introduce a new Effective Field Theory, Shell EFT, which incorporates solutions to Black-Hole Perturbation Theory known to any order in the gravitational constant G. I will present new results obtained with this formalism for Love numbers through G^9, which would require an eight-loop calculation in field theory and are currently out of reach with traditional Feynman integration.
I will conclude by discussing the next steps towards meeting the precision goals of the future gravitational-wave observatories.
Videoconference via https://us02web.zoom.us/j/82249348474